Technical Field
[0001] The present invention relates to winding distributions in rotating electrical machines.
Background Art
[0002] Previously disclosed, in
U.S. Patent Nos. 6,570,361 and
6,351,095, have been High Phase Order electrical rotating machine designs. Of specific interest
is
U.S. Patent No. 6,657,334, which discloses the use of a high phase order concentrated winding machine, connected
to an inverter using a mesh connection. When using a mesh connection, the voltage
across each winding is a function related to the voltages of both of the two inverter
legs that drive that winding, and therefore, may be different from the actual voltages
produced by the inverter legs. That machine is deliberately operated either with a
fundamental drive waveform, a pure harmonic drive waveform, or admixtures of these,
in order to change the volts/hertz ratio of an induction machine, in order to increase
the power delivered to the machine by a power electronics drive system when the motor
was being operated at low speed and thus reduced slot voltage. In other words, the
motor can be operated at higher current than the currents produced in the inverter.
[0003] In my previously disclosed machines, extensive use was made of concentrated windings.
Concentrated windings place inductors of a single phase in a single slot in each pole
of a stator. Motor windings are usually produced using coils of wire, with the portion
of a coil residing in one slot forming the inductors for that slot, and the portion
of the same coil on the opposite side of the coil is placed in another slot, forming
a set of inductors with reverse polarity from the first. These two slots are placed
180 electrical degrees apart, forming so-called full span concentrated windings. Concentrated
windings offer numerous benefits, including the ability to use harmonic components
of drive currents to produce useable rotating fields, reduction in chording and distribution
factors, which reduce resistance losses, and the ability to use specific harmonic
drive waveforms to obtain desired changes in machine impedance. However the use of
concentrated windings comes at a significant cost. Each phase in a concentrated winding
machine requires separate input terminals, separate inverter output stages, separate
wiring and fault detection circuitry, separate logic level PWM, and possibly separate
current and voltage measurement. Additionally, if the phase count is not sufficient,
then a concentrated winding electrical machine does not make sufficient use of its
stator. The stator slots would be few and widely spaced. Concentrated winding induction
machines are thus only useful when the phase count can be large.
[0004] The standard of industry for electrical rotating machines is the three-phase system.
Three phase systems cannot in general use concentrated windings, with the exception
of extremely high pole count systems, in which the pole/phase group (PPG) might be
limited to a single slot. Rather, three phase systems use distributed and chorded
windings in order to make better use of the stator, and to eliminate the deleterious
results caused by non-synchronized components in the drive waveform, winding flux
distribution, or other sources of spatial harmonic magnetic fields.
[0005] In a stator with distributed windings, the series connected inductors of a single
phase are placed in a number of slots rather than in single slot or slot pair. Inductors
in the various slots somewhat counter the magnetic field produced by the series connected
inductors in other slots, reducing the effective current flowing in the inductors,
and thus reducing the efficiency of producing a magnetic field. However this reduction
in magnetic field strength disproportionately effects harmonic magnetic fields, the
net result being that harmonic rotating fields are reduced, reducing low speed torque
pulsation and torque cusp, as well as making better use of stator cross section given
the low number of phases.
[0006] Fig la (prior art) uses arrows to show the flux distribution in a stator incorporating
distributed windings, and Fig. lb uses arrows to show the magnetic field strength
in a stator incorporating concentrated windings. A concentrated winding generates
a field distribution that is squared. Physically, the field H(theta) is evenly distributed
as shown in Fig 1b. In a distributed winding, the turns of the winding are distributed
so that the resultant field distribution is sinusoidal in theta, as depicted in Fig
la.
[0007] Fig 1c shows the graph of a r = H(theta) + baseline offset, the sinusoid which the
distribution of the windings approximates as much as possible. The ideal approach
is to distribute the turns according to the formula (dN)/(d theta) = (N/2)sin theta.
That is, the turn density in number of turns per radian must be approximately (N/2)sin
theta. The highest turn density will be at +-pi/2. The result of the sinusoidal distribution
is to cancel, to a very large degree, all spatial harmonics.
Spatial and Temporal Harmonica
[0009] Spatial harmonics are regular distortions in the magnetic field produced in the stator
of a rotating machine. Spatial harmonics with a pole count greater than the pole count
of the fundamental are filtered out and do not cause losses, if the windings of the
stator are wound with a winding distribution according to the sinusoid function.
[0010] Temporal harmonics, which originate with the drive waveform, are currents within
the drive waveform that cycle faster than the drive waveform. In a three phase machine,
the magnetic fields that these harmonics produce, if they were to be viewed in isolation,
would have the same number of poles as the fundamental, eg two poles in a two pole
machine. This is because a three-phase machine does not fully sample the high frequencies
of the temporal harmonics of the drive waveform. These temporal harmonics therefore
would produce a magnetic field in a three phase stator, which seems to be similar
in shape to the fundamental and yet rotates faster than the fundamental around the
stator, and often in the reverse direction, depending on the specific harmonic involved.
This magnetic field would not be filtered out by the windings being arranged in a
sinusoidal distribution, since they form a magnetic field with the same number of
poles as the fundamental, and the winding distribution function is only able to substantially
affect magnetic fields of greater number of poles than the fundamental.
[0011] In a high phase order concentrated winding machine, all temporal harmonics with a
harmonic number lower than the number of phases are properly sampled, and produce
on the stator a multi-pole rotating magnetic fields rotating with the same frequency
and in the same direction as the fundamental. These temporal harmonics, on the stator,
directly become spatial harmonics. However, since they rotate at the same speed and
direction as the fundamental, they are desirable spatial harmonics, representing greater
efficiency by causing extra beneficial torque in the rotor.
[0012] Temporal harmonics with a higher harmonic number than the number of phases will not
be properly represented on the stator, and will produce magnetic fields with a number
of poles different from double their phase number. For example, in a 17 phase 2-pole
machine, the 19 harmonic would produce a 30-pole rotating field (15
th harmonic of 2 pole) and in a 7 phase, 4 pole machine, the 9
th harmonic would produce a 20 pole rotating field (5
th harmonic of 4 pole). In a 7 phase 2-pole machine, the 13
th harmonic would be a 2-pole rotating field. In the cases when the harmonic order exceeds
the number of phases, the rotating field produced by this harmonic will not be properly
represented. Instead a rotating field that is a non-corresponding harmonic of the
fundamental rotating field will be produced. This field may rotate at a different
direction from the fundamental and possibly in the reverse direction This is similar
to temporal harmonics with a harmonic number greater than three in a three phase machine,
in the fact that they represent detrimental torque. However, all the magnetic fields
produced by these harmonics in the instances when the pole count is greater than the
pole count of the fundamental, would be spatial harmonics of the fundamental, such
as the 19
th harmonic in the 17 phase, 2 pole machine, which produces a 30 pole rotating field,
and the 9
th harmonic in the 7 phase, 4 pole machine, which produces a 20 pole rotating field.
[0013] Temporal harmonics that are even or are multiples of the number of phases of the
machine do not produce magnetic fields on the stator at all, due to symmetry and similar
considerations.
Sampling and Reconstruction Filters
[0014] A bandwidth limited continuous signal may be completely represented by a discrete
series of samples, providing that this series of samples occurs frequently enough.
The continuous signal may have an amplitude which changes over time, in which case
the samples form a time series of measured amplitude versus integral time (e.g. 1
sample each second). The continuous signal may be an amplitude which changes with
position, in which case the samples for a series of measured amplitude versus integral
position, (e.g. 1 sample each meter). The period is arbitrary, and depends upon the
signal being sampled. For baseband signals, the sampling frequency must be twice the
maximum frequency present in the signal being sampled, otherwise aliasing may occur.
Aliasing is when the signal being sampled contains frequency components that are outside
of the allowed frequency range, in which case the results of sampling and reconstruction
will be incorrectly produced, allowed components.
[0015] Critical in the use of the sampling theorem is the use of the reconstruction filter.
The reconstruction filter is a low pass filter that recreates the intermediate values
of the original continuous signal using the data from the sample points. The winding
of a motor is distributed according to a reconstruction filter. The rotating current
structures, and thus the rotating magnetic filed structures are explicitly constrained
by the form of the winding.
Disclosure of Invention
[0016] From the foregoing, it may be appreciated that a need has arisen for a more efficient
rotating induction apparatus that filters out distortions such as spatial harmonics,
but is nevertheless tolerant of desired low-order harmonics.
[0017] The present invention is a high phase order rotating induction machine as defined
in Claim 1 of the appended claims.
[0018] In one embodiment of the present invention an electrical rotating machine is connected
with distributed windings, arranged according to the sinc function. In a related embodiment,
the electrical rotating machine is connected with distributed windings arranged according
to a cyclic analog of the sinc function.
[0019] In a further embodiment of the present invention, an electrical rotating machine
is connected with distributed windings, arranged according to other low pass reconstruction
filters.
[0020] It is an advantage of the present invention that an electrical rotating machine of
more than three phases can be built that is able to use selected low order spatial
harmonics but which filters out many higher order spatial harmonics.
[0021] It is an advantage of the present invention that an electrical rotating machine can
have electrically variable impedance. When a high phase order machine is connected
with a mesh connection to the inverter drive, then low-order harmonics added to the
waveform can significantly change the impedance of the machine. At the same time,
higher-order spatial harmonics that are less useful and often detrimental, are filtered
out of the machine.
[0022] It is an advantage of the present invention that the same electrical rotating machine
can be used for both high speed and traction applications.
[0023] It is an advantage of the present invention that the drive circuitry may be economically
produced.
Brief Description of Drawings
[0024] For a more complete explanation of the present invention and the technical advantages
thereof, reference is now made to the following description and the accompanying drawings,
in which:
Fig. la shows a stator with concentrated windings (prior art).
Fig. lb shows a stator with distributed windings according to a sinusoidal distribution
(prior art).
Fig. 1c shows a sinusoid, which the distributed windings of Fig 1b. attempts to approximate.
Fig 2 shows a sinc function. Fig 3 shows the Ideal Lowpass Filter Frequency Response.
Fig. 4 shows a plurality of adjacent sinc functions linearly displayed.
Fig. 5 shows the sinc function with a cutoff frequency of pi. Fig. 6 shows a further
graph of the sinc function.
Fig. 7 shows the winding distribution according to the cyclic sinc function of a 30
slot machine, with a cutoff at the fundamental.
Fig. 8 shows the winding distribution according to the cyclic sinc function of a 30
slot machine, with a cutoff at the 3rd harmonic.
Fig. 9 shows the winding distribution according to the cyclic sinc function of a 30
slot machine, with a cutoff at the 5th harmonic.
Fig. 10 shows the winding distribution according to the cyclic sinc function of a
30 slot machine, with a cutoff at the 7th harmonic.
Fig. 11 shows the winding distribution according to the cyclic sinc function of a
30 slot machine, with a cutoff at the 9th harmonic.
Fig. 12 shows the winding distribution according to the cyclic sinc function of a
30 slot machine, with a cutoff at the 11th harmonic.
Fig. 13 shows the winding distribution according to the cyclic sinc function of a
30 slot machine, with a cutoff at the 13th harmonic.
Fig. 14 shows the winding distribution according to the cyclic sinc function of a
30 slot machine, with a cutoff at the 3rd harmonic.
Fig. 15 shows the winding distribution according to the cyclic sinc function of a
36 slot machine, 9-phase machine, with a cutoff at the 3rd harmonic.
Fig. 16 shows the winding distribution according to the cyclic sinc function of a
36 slot machine, 12-phase machine, with a cutoff at the 3rd harmonic.
Fig. 17 shows a rotating electrical machine with more than three phases, (eight),
star connected to an equal number of inverter terminals (represented by circles 5)
providing multiple phases of drive waveform.
Fig. 18 shows a rotating electrical machine with more than three phases, (eight),
mesh connected to an equal number of inverter terminals (represented by circles 5)
providing multiple phases of drive waveform.
Best Mode for Carrying Out the Invention
[0025] The current flowing in the stator slots produces the rotating magnetic field of an
electrical rotating machine. This current flow changes over time, causing the overall
structure of the stator current distribution to change over time and rotate. In the
ideal case, the stator current distribution is fixed in shape, but simply rotating.
The various phases feeding the motor can be thought of as spatially sampling this
current distribution, and the physically distributed turns of winding in the stator
can be thought of as the necessary reconstruction filter. Each phase describes the
current flowing at one location in each pole of the stator, and the winding distribution
acts to smooth out this current flow appropriately.
[0026] Spatial harmonics, or air-gap harmonics, are harmonic fields generated by the non-sinusoidal
nature of the field generated by each winding. When spatial harmonics are excited
by the fundamental drive currents, they produce a secondary rotating field that rotates
slower than the fundamental field. For a given excitation frequency, spatial harmonic
fields rotate more slowly than the fundamental field.
[0027] Harmonic fields generated by non-sinusoidal drive wave-forms are termed temporal
harmonics. Rotating fields produced by temporal harmonic currents rotate more rapidly
than the fundamental field. When temporal harmonics excite the fundamental spatial
field, they produce a secondary rotating field that rotates more rapidly than the
fundamental field and may rotate in the opposite direction to the fundamental field.
[0028] The idealized winding distribution used in three phase machines is the sinusoidal
distribution, in which the number of inductors in each slot for each phase is proportional
to the sine of the angle of that slot from a reference zero. Each phase has its own
reference zero, and in a three-phase system the various phases are all 120 electrical
degrees apart. In real windings, various greatly simplified windings are used, which
variously use distributed sets of coils, each with the same number of turns, and short
pitch coils, which do not reach to the next pole, in order to produce distributions
of inductors which reasonably approximate the ideal sinusoidal distribution
[0029] In the present invention, a high phase order induction machine, having more than
three phases, is wound using distributed windings. Instead of using the sine function
necessarily as the distribution function, a distribution function is selected so as
to permit only the desired temporal harmonics to produce the rotating magnetic field.
All other spatial harmonics (including those that originated as temporal harmonics),
are canceled, or filtered out, or mitigated, as in the fashion of those spatial harmonics
in the three-phase system with sinusoidal distributed windings.
[0030] The desired temporal harmonics are the fundamental and specific low order harmonics.
For example, it may be desirable to use and even add third and fifth temporal harmonics
in a high phase order machine, especially if the machine is mesh connected, as described
below. Therefore these together with the fundamental would be the desired harmonics.
All other spatial harmonics would be cancelled, eliminating both those that could
produce useful torque such as those that originated as temporal harmonics, having
a harmonic number lower than the number of phases, as well as all detrimental spatial
harmonics greater than the fifth.
[0031] The desired reconstruction filter will thus be a low pass filter. The reconstruction
filter is implemented by selecting the appropriate number of inductors in each slot
that are connected electrically in series to form each phase. This number of inductors
can be written as a function of desired cutoff frequency (C) and slot position (S).
The simplest low pass filter used is the sinc function, well known in the field of
digital audio where sampling is frequently used. The sinc function is simply sin(f*x)/(f*x),
where f is the cutoff frequency, normalized so that with a cutoff frequency of 1,
the first zero of the basic sinc function will be 90*N electrical degrees from the
peak of the sinc function, where N is any integer.
[0032] For purposes of producing a suitable winding distribution, which must be confined
to a finite stator, and must respect symmetries inherent in the actual windings themselves,
the sinc function is modified by adding to it a negative version of itself, offset
by 180 electrical degrees.
[0033] In order to calculate the cyclic function for use in determining the number of turns
for each phase that should be placed in each slot, the following formula (in radians)
is used:

where C is the cutoff harmonic, S is the slot angle in radians, from the reference
zero of the phase, and n is an integer between from negative infinity and positive
infinity.
[0034] This function would result in a distribution centered around the zero degrees slot.
For each phase it should therefore be rotated around the stator by the phase angle
(P). The phase angle P, in radians, would be 2π/ ((phases) * (poles)).
[0035] The results of the distribution for various slots would be scaled by the total number
of effective series turns required by machine voltage and pole area, as is well known
in three phase machines for dealing with distribution or chording.
[0036] Furthermore, in a conventional three phase distributed winding machine, the ideal
sinusoidal distribution is approximated by practical physical windings which are constrained
by issues such as requiring full coil turns in a winding, or the desire to use coils
all of the same turn count. Similarly, in the present invention, the ideal low pass
filter distribution functions may simply be approximated in a similar fashion.
[0037] One useful approximation would be to only consider the broad central region of the
sinc function and distribute the windings for each phase only within this broad region
(and its inverse, on the other side of the stator, while ignoring the other regions.
In a second useful approximation one would not even consider the differences between
the increments within the broad central region, treating the region with a sinusoidal
distribution. In a third useful approximation the broad central region would be considered
as a straight slope. In a fourth useful approximation, one would consider only the
broad central positive region and the smaller negative lobes to either side of it,
and of course, in all the approximations, also the inverses of these on the other
side of the stator.
[0038] For the fourth useful approximation, a cyclic sinc winding distribution with a cutoff
at the third harmonic is described. The trend of this sinc function may be determined
as having two different degrees of increments, that of 4 units and that of 1 unit.
Within the broad central lobe, the function starts with a slot containing zero turns
of windings, then the number of turns increases by about 4 units per slot until the
topmost region, then there is usually one slot containing an increment of 1 unit to
reach the maximum number of turns, a single slot containing a decrement of 1 unit,
and then the function decreases again with decrements of 4 units to reach a slot containing
zero turns of winding again. The total number of slots containing windings in this
broad central region is just under two thirds of the total number of slots per pole
of the machine, for example, 11 in a 36 slot machine and 9 in a 30 slot machine. On
each of the further sides of the two slots containing zero turns, there are two slots
(or more, depending on the number of slots in the machine), with approximately the
same number of turns in, one unit decrement below zero. The next slot once again contains
zero turns.
[0039] In a further approximation, windings with the same total number of turns are positioned
so that they approximate the ideal cyclic sinc function by having roughly the same
total number of turns centered in each lobe of the function.
[0040] In the first approximation mentioned above, the 11 or 9 slots (adjusted for machines
with different numbers of slots) of the broad central region, would be the only ones
to contain windings for each phase. In the second approximation above the turns would
be distributed sinusoidically throughout these slots, and in the third approximation
there would be a gradient of increasing number of turns, reaching the maximum number
of turns and then a declining gradient reaching zero turns again.
[0041] In one embodiment, the electrical rotating machine is a 5-phase machine. A (sin fx)/fx
winding distribution is selected such that the winding of each phase has zero amplitude
at the central point of each adjacent phase (in other words, the points on the stator
where the winding distribution has zero turns are placed at multiples of 36 electrical
degrees from the center of the pole/phase group (PPG)), producing a winding which
has it's 'desired spatial cutoff frequency' at the 5th harmonic. The total number
of series turns is selected using conventional distributed winding calculation techniques
so as to provide a proper winding voltage at the desired flux density and drive frequency.
In another way of describing the same idea, the cyclic sinc function described above
is used, in which the cutoff frequency C = 5 and for each slot angle S in radians
from a reference point for each phase, the winding distribution of S is calculated
using the formula

[0042] For each slot, the angle in radians S from a keystone physical angle on the stator
may be substituted into the above equation, to produce a result from the above equation
determining the number of turns that should ideally be placed in that slot. For example,
if the number of turns of winding for a keystone slot itself were to be determined,
S=0 and the result of the formula would be 1.
[0043] A graph of the number of winding turns in each slot of a 30 slot machine, may be
seen in Fig 9. Various other graphs of winding distributions in machines with different
numbers of slots and with cutoff frequencies at different harmonics may be seen in
Figs. 7-16.
[0044] In another embodiment, a second possible winding configuration for the 5-phase machine
is described. The cyclic sinc function described above is used with the cutoff harmonic
C set to 4, for the fourth harmonic, to allow the third spatial harmonic to flow,
but prevent the fifth and higher spatial harmonics from flowing. The fifth harmonic
actually does not usually enter the five-phase machine, just as the third harmonic
does not enter the three-phase machine. The fourth harmonic also does not normally
flow, due to symmetry within the machine. However, if the cutoff harmonic were one
that could enter the machine, it would be partially filtered and partially allowed
to flow.
[0045] In another way of describing the same winding distribution, a sinc function (sin
fx)/fx winding distribution is selected to place its zeros at multiples of 45 degrees
from the center of the pole/phase group, creating a reconstruction filter with a cutoff
at the fourth harmonic, passing the third harmonic without attenuation, but eliminating
7th and higher harmonic torque cusps. "Placing the zeros" of the sinc function at
45 degrees, is another way of saying that for 45 degrees in both directions, from
a keystone angle on the stator for each phase, there is be a broad central region
of gradually decreasing numbers of turns of windings. At 45 degrees away from the
keystone slot, there would be no windings at all, and after that the number of turns
of windings would increase again, but would be placed in the opposite direction going
down the stator instead of up the stator. Theoretically, every 45 degrees the number
of turns would again decline to zero, after which the direction of the windings would
change, but in effect the function also takes into consideration the exact opposite
configuration which must take place 180 degrees to the other side of the stator, and
some of the turn increments and decrements would cancel one another out, which is
why the cyclic sinc function described above would need to be used to determine more
accurately the number of winding turns in each slot, or approximations therefore.
Furthermore, there are a limited number of times 45 degrees away from a keystone slot
appears on a stator.
[0046] In a further embodiment of the present invention, the third harmonic is injected
into the motor at low speeds, thus appearing as a 6-pole rotating field in the nominally
2 pole motor frame. Furthermore, the windings of the motor are connected in a mesh
connection, (as opposed to a star connection), and therefore the current seen within
the winding can be much higher than the current injected from the drive. The drive,
which has substantial low speed voltage available, but limited current, is thus able
to provide much higher torques at low speeds than a motor which is not specifically
fed a harmonic. The winding distribution would be a sinc function with a cutoff at
the fourth or fifth harmonic, to allow the third spatial harmonic to pass, but not
higher spatial harmonics. In a five-phase machine, the third temporal harmonic becomes
the third spatial harmonic and would not be filtered out by this winding distribution.
[0047] In a further embodiment of the present invention, a seven phase electrical rotating
machine is used, and a low pass reconstruction filter is used to determine the winding
distribution, with a function f(x) selected to allow the third and the fifth harmonics
to be used in the machine, whilst filtering out higher order harmonics to a great
extent. The low pass filter may be the sinc function, or other low pass filter capable
of allowing substantially only the third and fifth harmonics to pass. A graph showing
the distribution of the sinc function in a motor with a cutoff frequency at the seventh
harmonic is shown in Fig. 10. The distribution of the windings is independent of the
number of phases in the machine and depends only on the number of slots, except that
it will be repeated according to the number of and positions of the phases, and may
be scaled accordingly.
[0048] In a further embodiment, a nine phase electrical rotating machine is used, and a
low pass reconstruction filter is used to determine the winding distribution, to filter
out most harmonics and only allow entry to the machine of spatial harmonics below
the ninth. This may be seen in Fig. 11. In a further embodiment, electrical rotating
machines with higher phase counts are used, with a reconstruction filter used to determine
the winding distribution to substantially filter out harmonics having a harmonic number
lower than the number of phases. This may be seen in Fig. 13 with reference to a fifteen-phase
machine, having a cutoff frequency at the thirteenth harmonic. However, it is desirable
that electrical rotating machines with high phase counts should be used in machines
with more than double the number of slots as phases, since for example in a 30 slot,
15 phase machine, the winding approximates a concentrated winding.
[0049] In a further embodiment, the electrical rotating machine is connected with a mesh
connection to the inverter drive. In this way, the voltage across each winding is
actually a function of the two different voltages placed at the two ends of the same
winding, and thus may be substantially different from any of the voltages produced
at that time by the inverter. Voltages may therefore be much higher in the windings
than were actually generated by the inverter drive, and currents may be much lower,
or alternatively, currents may be greatly increased whilst voltages are reduced. A
mesh connection is depicted in Fig. 18. This example shows a mesh connection in which
both ends of each motor phase winding are connected to adjacent inverter terminal
outputs. In other words, it has a span value of L=1. However, the mesh may be arranged
that both ends of each motor winding phase be connected to span a greater number of
inverter terminal outputs. For example, if both ends of each motor winding phase would
be connected to inverter terminals almost but not exactly 120 electrical degrees out
of phase from each other, then the injection of third harmonic into the electrical
current of the drive waveform would have a significant effect on the current to voltage
ratio of the electrical rotating machine, and hence, on the torque and speed of the
output of the electrical rotating machine. In a five phase machine, the L=2 connection
connects each motor winding phase to inverter terminals 144 degrees apart. In contrast
to a mesh connection, Fig 17 shows an eight-phase machine connected to inverter terminals
with a star connection.
[0050] In a further embodiment, the inverter logic may be configured to inject a pure harmonic
drive waveform, for example, pure third or pure fifth harmonic. Due to the mesh connection,
this pure harmonic drive waveform would significantly change the voltage across each
winding, allowing very high voltages to be reached in the windings, or very high speeds.
The mesh connection may be initially set up or switchable so that it creates a very
large change in current/voltage ratios, when switched between fundamental and an injection
of pure third harmonic or pure fifth harmonic drive waveform.
[0051] In a further embodiment, a harmonic can be supplied to the electrical rotating machine
simultaneously to a fundamental pole count drive waveform. In one embodiment, a fundamental
drive waveform employs a two-pole rotating field. Superimposed to a selective degree
to this can be the third harmonic. This effectively changes the voltage across the
winding, and the currents going through the machine. Therefore, the addition of harmonics
in this way, may electrically vary the impedance of the machine.
[0052] Certain mesh connections, such as those in which the two ends of each winding are
connected to two inverter outputs with an electrical angle difference of approximately
but not exactly 120 electrical degrees, are able to take particular advantage of the
injection of third harmonic, to produce large changes in impedance.
[0053] In a further embodiment, fifth harmonic may be injected into the drive waveform,
to further provide impedance variation. The fifth harmonic may be used simultaneously
or separately from the third harmonic, and may be superimposed onto or used instead
of the fundamental. In addition, the mesh connection used may be one that uses fifth
harmonic to the best advantage, as detailed in my other patent application.
[0054] In a further embodiment, a winding distribution may be set up that allows many low-order
harmonics, those below the phase count, to all flow in the machine, such as a 15 phase
machine with a cutoff frequency at the thirteenth harmonic. These low-order harmonics
may be selectively added to provide further or alternative variance in impedance.
[0055] It will be understood that various control logic circuitry, well known in the art,
may be employed to determine when extra voltage or extra current is required from
the machine. These control logic circuitry components would be connected to automatically
add or eliminate extra harmonics according to these requirements. This would have
the effect of temporarily boosting voltage across each winding whilst reducing the
maximum current able to flow through the windings, or temporarily boosting the current
through the windings whilst reducing the maximum voltage possible across the windings.
The voltage across the windings is directly related to the output speed of the machine
and the currents through the windings are directly related to the output torque of
the machine.
[0056] A user input may also be incorporated to allow manual control over the current/voltage
ratio. This is also known as the impedance of the machine.
[0057] In a further embodiment, the mesh connection is specifically designed to make the
best use of the low order harmonics that are able to flow in the electrical rotating
machine. This is described in great detail in my
U.S. Patent Application No. 09/713,654. Usually, the third harmonic is able to produce the greatest variability between
currents and voltages across windings.
[0058] A preferred embodiment uses a five phase machine, with a sinc function filter used
to describe a distribution that allows third harmonic to flow in the machine whilst
filtering out all other harmonics, having a cutoff frequency C set to 4.. The five
phases comprise a mesh connection with the two ends of each winding connected to inverter
terminals 144 electrical degrees apart, in other words, having a span of L=2. The
inverter drive supplies fundamental waveform current with a variable amount of added
third harmonic component.
1. A high phase order rotating induction machine, comprising a stator having a number
of winding turns for each of said phases, wherein the number of phases is greater
than three;
the rotating induction machine characterised in that the number of said turns is a function of desired cutoff frequency and slot position,
said windings distributed according to a sinc function, sin(f*x)/(f*x), or an approximation
of a sinc function, where f is the cutoff frequency, normalized so that at a cutoff
frequency of 1, the first zero of the sinc function will be 90*N electrical degrees
from peak of the sinc function, where N is any integer between negative infinity and
positive infinity, such that a suitable winding distribution is formed centered around
a zero degree reference slot.
2. A rotating induction machine as claimed in Claim 1, wherein said sinc function is
a cyclic sinc function.
3. A rotating induction machine as claimed in Claim 1 or Claim 2, wherein said winding
distribution comprises windings positioned in broad central regions of said sinc function.
4. A rotating induction machine as claimed in Claim 3, wherein said winding distribution
within said broad central regions approximates a sine function.
5. A rotating induction machine as claimed in any preceding claim, wherein said cyclic
function permits low-order harmonics to flow through said windings and substantially
blocks high-order harmonics.
6. A rotating induction machine as claimed in Claim 5, wherein said low-order harmonics
comprise harmonics having an order less than 4.
7. A rotating induction machine as claimed in Claim 5, wherein said high-order harmonics
comprise harmonics having an order greater than 5.
8. A rotating induction machine as claimed in any preceding claim, further comprising
an inverter drive, for supplying said more than three phases of electrical current,
wherein said stator windings are connected to said inverter drive with a mesh connection.
9. A rotating induction machine as claimed in Claim 8, wherein said inverter drive is
capable of selectively injecting low order harmonics into the electrical current drive
waveform.
10. A rotating induction machine as claimed in Claim 2, wherein said winding comprises
groups of windings with one of two predetermined numbers of turns being arranged in
slots of the stator to substantially approximate the cyclic sinc function.
11. A rotating induction machine as claimed in Claim 2, wherein said more than three different
phases comprises five phases and wherein said cyclic sinc function comprises a cutoff
frequency to substantially filter spatial harmonics above the third spatial harmonic.
12. A rotating induction machine as claimed in Claim 2, further comprising an inverter
drive, for supplying said more than three phases of electrical current, wherein said
stator windings are connected to said inverter drive with a mesh connection and wherein
said inverter drive is capable of selectively injecting low order harmonics into the
electrical current drive waveform.
13. A rotating induction machine as claimed in Claim 12, wherein said cyclic sinc function
has a cutoff frequency to pass said low order harmonics only.
14. A rotating induction machine as claimed in Claim 3, wherein said windings are positioned
for each phase only according to the broad central regions of the cyclic sinc function,
and comprise windings positioned to approximate the cyclic sinc function with a gradient
of increasing number of turns up to a maximum value in the broad central regions of
the cyclic sinc function.
15. A rotating induction machine as claimed in Claim 2, wherein said winding distribution
approximating the cyclic sinc function comprises windings positioned for each phase
to approximate the broad central regions of the cyclic sinc function and a single
lobe on either side of the broad central regions of the cyclic sinc function.
1. Rotierende Induktionsmaschine mit hoher Phasenordnung, die einen Stator mit einer
Anzahl von Wicklungs-Windungen für jede der Phasen aufweist, wobei die Anzahl der
Phasen größer als drei ist;
wobei die rotierende Induktionsmaschine dadurch gekennzeichnet ist, dass die Anzahl der Windungen eine Funktion einer gewünschten Grenzfrequenz und Nut-Position
ist, wobei die Wicklungen gemäß einer sinc-Funktion, sin (f*x) /(f*x) oder einer Näherung
einer sinc-Funktion verteilt sind, wobei f die Grenzfrequenz ist, die derart normalisiert
ist, dass bei einer Grenzfrequenz von 1 die erste Null der sinc-Funktion sich bei
90*N elektrischen Graden von Spitzenwert der sinc-Funktion befindet, wobei N irgendeine
ganze Zahl zwischen negativ Unendlich und positiv Unendlich ist, derart, dass eine
geeignete Wicklungsverteilung gebildet wird, die um eine Null-Grad-Bezugs-Nut zentriert
ist.
2. Rotierende Induktionsmaschine nach Anspruch 1, bei der die sinc-Funktion eine zyklische
sinc-Funktion ist.
3. Rotierende Induktionsmaschine nach Anspruch 1 oder 2, bei der die Wicklungsverteilung
Wicklungen umfasst, die in breiten Mittelbereichen der sinc-Funktion angeordnet sind.
4. Rotierende Induktionsmaschine nach Anspruch 3, bei der die Wicklungsverteilung in
den breiten Mittelbereichen einer Sinus-Funktion angenähert ist.
5. Rotierende Induktionsmaschine nach einem der vorhergehenden Ansprüche, bei der die
zyklische Funktion das Hindurchlaufen von Harmonischen niedriger Ordnung durch die
Wicklungen ermöglicht und Harmonische hoher Ordnung im Wesentlichen blockiert.
6. Rotierende Induktionsmaschine nach Anspruch 5, bei der die Harmonischen niedriger
Ordnung Harmonische umfassen, die eine Ordnung von weniger als 4 aufweisen.
7. Rotierende Induktionsmaschine nach Anspruch 5, bei der die Harmonischen hoher Ordnung
Harmonische mit einer Ordnung von mehr als 5 umfassen.
8. Rotierende Induktionsmaschine nach einem der vorhergehenden Ansprüche, die weiterhin
eine Inverter-Ansteuereinrichtung zur Zuführung von den mehr als drei Phasen eines
elektrischen Stroms umfasst, wobei die Stator-Wicklungen mit der Inverter-Ansteuereinrichtung
in einer Delta-Schaltung verbunden sind.
9. Rotierende Induktionsmaschine nach Anspruch 8, bei der die Inverter-Ansteuereinrichtung
zur selektiven Injektion vom Harmonischen niedriger Ordnung in die elektrische Strom-Ansteuer-Schwingungsform
fähig ist.
10. Rotierende Induktionsmaschine nach Anspruch 2, bei der die Wicklung Gruppen von Wicklungen
umfasst, wobei eine von zwei vorgegebenen Anzahlen von Windungen in Nuten des Stators
angeordnet sind, um im Wesentlichen eine Annäherung an die zyklische sinc-Funktion
zu erreichen.
11. Rotierende Induktionsmaschine nach Anspruch 2, bei der die mehr als drei unterschiedlichen
Phasen fünf Phasen umfassen, und bei der die zyklische sinc-Funktion eine Grenzfrequenz
umfasst, um räumliche Harmonische oberhalb der dritten räumlichen Harmonischen im
Wesentlichen zu filtern.
12. Rotierende Induktionsmaschine nach Anspruch 2, die weiterhin eine Inverter-Ansteuereinrichtung
unter Lieferung der mehr als drei Phasen des elektrischen Stromes umfasst, wobei die
Stator-Wicklungen mit der Inverter-Ansteuereinrichtung in einer Delta-Verbindung verbunden
sind und bei der die Inverter-Ansteuereinrichtung zum selektiven Injizieren Harmonischer
niedriger Ordnung in die elektrische Strom-Ansteuer-Schwingungsform fähig ist.
13. Rotierende Induktionsmaschine nach Anspruch 12, bei der die zyklische sinc-Funktion
eine Grenzfrequenz zur ausschließlichen Weiterleitung der Harmonischen niedriger Ordnung
aufweist.
14. Rotierende Induktionsmaschine nach Anspruch 3, bei der die Wicklungen für jede Phase
lediglich entsprechend den breiten Mittelbereichen der zyklischen sinc-Funktion angeordnet
sind und Wicklungen umfassen, die so angeordnet sind, dass sie eine Näherung der zyklischen
sinc-Funktion mit einem Gradienten einer ansteigenden Anzahl von Windungen bis zu
einem Maximalwert in den breiten Mittelbereichen der zyklischen sinc-Funktion ergeben.
15. Rotierende Induktionsmaschinen nach Anspruch 2, bei der die WicklungsVerteilung, die
der zyklischen sinc-Funktion angenähert ist, Wicklungen umfasst, die für jede Phase
so angeordnet sind, dass sie eine Näherung der breiten Mittelbereiche der zyklischen
sinc-Funktion und eine einzige Keule auf jeder Seite der breiten Mittelbereiche der
zyklischen sinc-Funktion ergeben.
1. Machine à induction rotative à ordre de phase élevée, comprenant un stator ayant un
certain nombre de tours d'enroulements pour chacune desdites phases, dans laquelle
le nombre de phases est supérieur à trois ;
la machine à induction rotative étant caractérisée en ce que le nombre desdits tours dépend d'une fréquence de coupure et d'une position de fente
souhaitées, lesdits enroulements étant répartis selon une fonction sine, sin(f*x)/(fx),
ou une approximation d'une fonction sinc, où f est la fréquence de coupure, normalisée
de telle sorte que, à une fréquence de coupure de 1, le premier zéro de la fonction
sinc soit à 90*N degrés électriques de la crête de la fonction sinc, où N est n'importe
quel entier situé entre l'infini négatif et l'infini positif, de telle sorte qu'une
répartition d'enroulements adéquate soit formée de manière centrée autour d'une fente
de référence de degré zéro.
2. Machine à induction rotative selon la revendication 1, dans laquelle ladite fonction
sinc est une fonction sinc cyclique.
3. Machine à induction rotative selon la revendication 1 ou la revendication 2, dans
laquelle ladite répartition d'enroulements comprend des enroulements positionnés dans
des régions centrales larges de ladite fonction sinc.
4. Machine à induction rotative selon la revendication 3, dans laquelle ladite répartition
d'enroulements dans lesdites régions centrales larges s'approche d'une fonction sinusoïdale.
5. Machine à induction rotative selon l'une quelconque des revendications précédentes,
dans laquelle ladite fonction cyclique permet à des harmoniques d'ordre faible de
circuler dans lesdits enroulements et bloque sensiblement les harmoniques d'ordre
élevée.
6. Machine à induction rotative selon la revendication 5, dans laquelle lesdits harmoniques
d'ordre faible comprennent des harmoniques ayant un ordre inférieur à 4.
7. Machine à induction rotative selon la revendication 5, dans laquelle lesdits harmoniques
d'ordre élevé comprennent des harmoniques ayant un ordre supérieur à 5.
8. Machine à induction rotative selon l'une quelconque des revendications précédentes,
comprenant en outre un entraînement à inverseur, destiné à fournir lesdites plus de
trois phases de courant électrique, où lesdits enroulements de stator sont reliés
audit entraînement à inverseur avec une connexion polygonale.
9. Machine à induction rotative selon la revendication 8, dans laquelle ledit entraînement
à inverseur est capable d'injecter sélectivement des harmoniques d'ordre faible dans
la forme d'onde d'entraînement du courant électrique.
10. Machine à induction rotative selon la revendication 2, dans laquelle ledit enroulement
comprend des groupes d'enroulements ayant l'un de deux nombres prédéterminés de tours
agencés dans des fentes du stator afin de s'approcher sensiblement de la fonction
sine cyclique.
11. Machine à induction rotative selon la revendication 2, dans laquelle lesdites plus
de trois phases différentes comprennent cinq phases, et dans laquelle ladite fonction
sine cyclique comprend une fréquence de coupure afin de filtrer sensiblement les harmoniques
spatiaux supérieurs au troisième harmonique spatial.
12. Machine à induction rotative selon la revendication 2, comprenant en outre un entraînement
à inverseur, destiné à fournir lesdites plus de trois phases de courant électrique,
dans laquelle lesdits enroulements de stator sont reliés audit entraînement à inverseur
avec une connexion polygonale, et dans laquelle ledit entraînement à inverseur est
capable d'injecter sélectivement des harmoniques d'ordre faible dans la forme d'onde
d'entraînement du courant électrique.
13. Machine à induction rotative selon la revendication 12, dans laquelle ladite fonction
sinc cyclique possède une fréquence de coupure permettant de faire passer uniquement
lesdits harmoniques d'ordre faible.
14. Machine à induction rotative selon la revendication 3, dans laquelle lesdits enroulements
sont positionnés pour chaque phase uniquement selon les régions centrales larges de
la fonction sinc cyclique, et comprennent des enroulements positionnés afin de s'approcher
de la fonction sinc cyclique avec un gradient d'augmentation du nombre de tours allant
jusqu'à une valeur maximum dans les régions centrales larges de la fonction sinc cyclique.
15. Machine à induction rotative selon la revendication 2, dans laquelle ladite répartition
d'enroulements s'approchant de la fonction sinc cyclique comprend des enroulements
positionnés pour chaque phase afin de s'approcher des régions centrales larges de
la fonction sinc cyclique et un seul lobe de n'importe quel côté des régions centrales
larges de la fonction sinc cyclique.